Final answer:
To find the value of p in rectangle GHD, we set up equations equating the opposite sides of the parallelogram. Solving these equations gives us p = 10.
Step-by-step explanation:
Properties of parallelograms LLK
Given that HK = p + 10 and JK = 4p - 29, we need to find the value of p in rectangle GHD.
To solve for p, we need to equate the opposite sides of the parallelogram. So, HK = GHD and JK = GD.
Setting up these equations, we have p + 10 = 20 and 4p - 29 = 10. Solving these equations gives us p = 10.
The value of p in rectangle GHD is 10.